It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 400 438 is not a prime number.
For example, 400 438 can be divided by 2: 400 438 / 2 = 200 219.
For 400 438 to be a prime number, it would have been required that 400 438 has only two divisors, i.e., itself and 1.
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400 438 is an even number, because it is evenly divisible by 2: 400 438 / 2 = 200 219.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 400 438 is about 632.802.
Thus, the square root of 400 438 is not an integer, and therefore 400 438 is not a square number.
The square of a number (here 400 438) is the result of the product of this number (400 438) by itself (i.e., 400 438 × 400 438); the square of 400 438 is sometimes called "raising 400 438 to the power 2", or "400 438 squared".
The square of 400 438 is 160 350 591 844 because 400 438 × 400 438 = 400 4382 = 160 350 591 844.
As a consequence, 400 438 is the square root of 160 350 591 844.
The multiples of 400 438 are all integers evenly divisible by 400 438, that is all numbers such that the remainder of the division by 400 438 is zero. There are infinitely many multiples of 400 438. The smallest multiples of 400 438 are: